Calculating R^2 when ESS is unknown

New Member

Hi
I'm new and looking for help please.
I have to calculate R^2 (R-squared) using a calculator and haven't been given the Explained Sum of Squares (ESS). Is there a way to do this?
I have been given:
Residual Sum of Squares 16.31
Standard deviation of outcome variable y 3.25
Correlation of predictor variables x and z -0.042
25 data points

Doesn't actually exist

YES! Omg you're like so close! That's why @Dason mentioned the formula for the variance. You don't need the real data or anything to get to that answer. The relationships among the various quantities that you got are enough for you to solve for it. And yes, the correct answer is 0.9356607

You've already noticed that the standard deviation of Y plays a role. You took the first correct step, squaring it to get the variance. Now look at the formula for the variance (Google is your friend in case you don't know the formula) and look at it closely. How are the sums of squares related to the variance?